Logs and Exponential Solving

Simplify: 2log(x) + 3log(xy)

• log(x⁵y³)

• log(5xy)

• 5log(x²y)

• log(6x²y)

ln(4xy)

• ln4+lnx+lny

• 4lnxy

• 4lnx+lny

• 4ln(x+y)

• ln2+2lnx+lny+4lnz

• ln2+2lnx+lny-4lnz

• 2ln(2xy)-4lnz

• 2ln2x+lny-4lnz

• log9+log4

• log(9-4)

• log9-log4

• 4log9

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

ln(x+8) - ln (8) = 3

• 152.68

• 188.77

• 4.24

• 8.01